| 引用本文: | 刘晓平 ,张嗣瀛.对称非线性控制系统的能控性[J].控制理论与应用,1991,8(4):452~455.[点击复制] |
| Liu Xiaoping, Zhang Siying.Controllability of Nonlinear Control Systems with Symmetries[J].Control Theory and Technology,1991,8(4):452~455.[点击复制] |
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| 对称非线性控制系统的能控性 |
| Controllability of Nonlinear Control Systems with Symmetries |
| 摘要点击 1054 全文点击 475 投稿时间：1990-05-13 修订日期：1990-12-17 |
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| DOI编号 |
| 1991,8(4):452-455 |
| 中文关键词 非线性系统 能控性 对称性 |
| 英文关键词 nonlinear systems controllability symmetry |
| 基金项目 |
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| 中文摘要 |
| 本文采用微分几何方法，研究了具有对称结构的非线性控制系统的能控性。本文证明：若对称非线性控制系统在某点能控，那么该系统在此点所属的轨道上的所有点均能控。 |
| 英文摘要 |
| This paper investigates the controllability of nonlinear control systems with symmetries by using the differential method, and proves that if the system with symmetry is controllable at some point, then it is controllable on the orbit passing through this point. |
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